Electronic transport in a quantum-dot capacitively coupled to a charge-qubit

The investigation of transport properties of the quantum dots is yet one of the active and interesting research fields in the theoretical and experimental condensed matter physics. This is mainly due to the possibility of engineering various arrays of them on a chip as well as tuning their energy levels and even their interactions very precisely in the laboratory. In this talk, I will consider the capacitive interaction between a charge qubit and a (or two) quantum dot and discuss the signatures of such interaction on the transport properties of the ...

In the first part of the lecture, I describe some aspects of the spectral geometry related to the eigenvalues of the Laplace operator. In the second part, I talk about some results and problems in the case of lens spaces. ...